Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation

Computational Mathematics and Mathematical Physics

Volumn 39, Issue 1, 1999, Pages 40-55

  Kutniv, Myroslav V ^a   Makarov, V L ^b   Samarskil, A A ^a  

^a LVIV POLYTECHNIC NATIONAL UNIVERSITY   (Ukraine)

^b INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33746953115     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Makarov, V.L. and Samarskii, A.A., On the Implementation of Accurate Three-Point Difference Schemes for Second-Order Ordinary Differential Equations with Piecewise Smooth Coefficients, Dokl. Akad. NaukSSSR, 1990, vol. 312, no. 3, pp. 538-543.
2. Samarskii, A.A. and Makarov, V.L., On the Implementation of Accurate Three-Point Difference Schemes for Second-Order Ordinary Differential Equations with Piecewise Smooth Coefficients, Differ. Uravn., 1990, vol. 26, no. 7, pp. 1254-1265.
3. Makarov, V.L. and Samarskii, A.A., Accurate Three-Point Difference Schemes for Second-Order Nonlinear Ordinary Differential Equations and Their Implementation, Dokl. Akad. NaukSSSR, 1990, vol. 312, no. 4, pp. 795-800.
4. lyengar, S.R.K. and Pillai, A.C.R., Difference Schemes of Polynomial and Exponential Orders, Appl. Math. Model., 1989, vol. 13, no. 1, pp. 58-62.
5. Samarskii, A.A., Lazarov, R.D., and Makarov, V.L., Raznostnye skliemy dlya differentsial'nykh uravnenii s obobsficliennymi resheniyami (Difference Schemes for Differential Equations with Generalized Solutions), Moscow: Nauka, 1987.